Editing Open Problems (section)

=== Problem overview and questions ===

At this stage, the main challenge is to identity really fruitful directions for research.   So, this may be a good thing to work on when people are in the mood for brainstorming rather than solving precisely posed problems.  

Some sample questions include:

* Can we think about quantum computation with interacting particles as analogous to CRN computation?  The big difference is that amplitudes are complex, giving rise to destructive interference, so if a reaction can occur in two ways, the amplitudes for these two ways can (perhaps partally) cancel out.  This has no analogue with probabilities, and in existing work on quantum computation this interference phenomenon is very important: it allows a computer to 'try many options simultaneously' and then have the results cancel out except for the desired ones.  Nonetheless, there may be an area of overlap between quantum computation and CRN computation.

* Can we push forward the existing lines of research on using quantum techniques to study CRNs?   Examples include:
** studying how the chemical master equation approaches the rate equation in the large-number limit.
** studying stable equilibria for certain classes of CRNs: for example, those with deficiency zero (or low deficiency).

However, I bet we can come up with better questions!